Based on the information provided, let's analyze the statements to determine which ones are likely true:
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The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000. - True, if the graph starts at $1000 when time is 0.
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The slope of the graph has a length of 100. - This can be true depending on the context of the graph but typically relates to the rate of change rather than a "length."
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The slope of the graph shows a decrease of $100 in a 10 week period of time. - This is plausible if the graph indeed shows a decrease of that amount over that period.
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The slope of the graph shows that as the weeks increase, the loan also increases. - This would be false if the graph shows a decrease in the loan amount as time progresses.
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The graph is decreasing, but the rate of change does not stay constant. - This can be true if the graph bends or changes direction.
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The graph is Linear. - This would be false if the graph is observed to be decreasing but at a non-constant rate.
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The x-intercept is (10, 0) and states that at 0 time, your loan is $10. - This statement is inconsistent; the x-intercept indicates the time at which the loan is zero, not the loan value at 0 time.
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The graph is decreasing with a constant rate of change. - True if the slope is constant.
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The graph is nonlinear. - False if it’s shown to be linear in behavior.
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The slope of the graph shows a decrease of $100 each week. - True if the slope indeed indicates a consistent decrease.
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The graph is increasing at a constant rate of change. - This would be false if the graph is confirmed to be decreasing.
Given the statements above, the following would be the selected true statements based on the usual characteristics of a graph that represents a decreasing loan:
- The y-intercept is (0, 1000) and shows that at 0 time, your loan is $1000.
- The slope of the graph shows a decrease of $100 in a 10 week period of time.
- The graph is decreasing with a constant rate of change.
- The slope of the graph shows a decrease of $100 each week.
You should confirm these with the actual graph visuals for better accuracy.